an angle is 22 degrees smaller than a second angle. the two angles are complementary. what is the measure of the smaller angle? ​

11

Step-by-step explanation:

Let the first angle be x°.

Then the second angle shall be (x - 22)°.

The two angles are complementary. Hence their sum shall be 90°.

First angle + second angle = 90°

=> x° + x° - 22° = 90°

=> 2x° = 112°

=> x° = 56°

Hence first angle = x° = 56°.

Second angle = (x - 22)° = 34°.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form